Time Series Analysis and Inverse Theory for Geophysicists

Author: David Gubbins

Publisher: Cambridge University Press

ISBN: 9780521525695

Category: Mathematics

Page: 255

View: 4752

The first textbook covering spectral analysis and geophysical data inversion for undergraduate and graduate students.

Geophysical Data Analysis

Discrete Inverse Theory

Author: William Menke

Publisher: Academic Press

ISBN: 0123971608

Category: Mathematics

Page: 293

View: 724

Please use extracts from reviews of first edition Key Features * Updated and thoroughly revised edition * additional material on geophysical/acoustic tomography * Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies

Time Sequence Analysis in Geophysics

Author: E. R. Kanasewich

Publisher: University of Alberta

ISBN: 9780888640741

Category: Science

Page: 480

View: 9411

Time sequence analysis is the study of relations between a sequence of data points or sequence of signals in order to determine the physical properties of the earth. Providing an up-to-date treatment on time series and time sequence, this book is intended for senior or graduate students in seismology, geomagnetism and exploratory geophysics.

Geophysical Data Analysis

Discrete Inverse Theory

Author: William Menke

Publisher: Elsevier

ISBN: 9780080507323

Category: Science

Page: 289

View: 3977

Please use extracts from reviews of first edition Key Features * Updated and thoroughly revised edition * additional material on geophysical/acoustic tomography * Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies

The Leading Edge

Author: N.A

Publisher: N.A


Category: Geophysics

Page: N.A

View: 5485

Seismology and Plate Tectonics

Author: David Gubbins

Publisher: Cambridge University Press

ISBN: 9780521379953

Category: Science

Page: 339

View: 4987

This introduction to seismological theory and the principles of plate tectonics also develops a practical approach to the interpretation of seismograms for physicists and mathematicians as well as geologists.

Geophysical Data Analysis

Understanding Inverse Problem Theory and Practice

Author: N.A

Publisher: SEG Books

ISBN: 156080257X

Category: Electronic books

Page: 296

View: 1931

Geophysical data analysis is a very practical subject and this book is intended to be a simple guide to the techniques of parameter estimation and error analysis. I have placed emphasis on the reconciliation of theory and practical data to enable the reader understand how to tackle typical problems in data analysis. It is hoped that a mastery of the simple techniques described in this book will inspire confidence in the reader to consult the more classical treatment of the subject. It is pertinent to mention that this book developed out of a highly successful course of the same title given to senior undergraduate geophysics students in Leicester University since 1988 and its popularity stems from the structured learning programs and the simple effective practical approach to geophysical inversion. The course is given in the first semester to provide students with the basic tools for quantitative analysis of geoscientific data and consists of 10 lectures and practical sessions involving the materials given in Chapters 1 to 9 in this book. Chapter 10 derives from topical issues of research interest to me and my induction courses for postgraduate students in geophysics and the industry. The contents of this book are easily digestible and require little statistical or mathematical commitment.

Rutschungen und ihre Sanierung

Author: Ch. Veder

Publisher: Springer-Verlag

ISBN: 3709185327

Category: Technology & Engineering

Page: 232

View: 4049

Parameter Estimation and Inverse Problems

Author: Richard C. Aster,Brian Borchers,Clifford H. Thurber

Publisher: Elsevier

ISBN: 0128134232

Category: Science

Page: 404

View: 7658

Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more. Complemented by a companion website that includes MATLAB codes that correspond to all examples Features examples that are illustrated with simple, easy to follow problems that illuminate the details of a particular numerical method Includes an online instructor’s guide that helps professors teach and customize exercises and select homework problems Covers updated information on adjoint methods that are presented in an accessible manner

Deconvolution and Inverse Theory

Application to Geophysical Problems

Author: V. Dimri

Publisher: Elsevier

ISBN: 1483291375

Category: Science

Page: 249

View: 4612

This is the first study to present simultaneously both deconvolution and inversion, two powerful tools of data analysis. Featured within this volume are various geophysical convolution models and a treatment of deconvolution for a time-varying signal. The single channel time-varying deconvolution is shown equivalent to the multichannel time-invariant deconvolution, thus a formalism and associated algorithms can handle both. Inverse theory as well as various inversion schemes are presented on the basis of a relationship between a small perturbation to the model and its effects on the observation. The information theory inversion scheme is discussed, and several types of norm of minimization presented. Additionally, concepts and results of inverse theory are applied to design a new deconvolution operator for estimating magnetization and density distribution, and the constraint of the Backus-Gilbert formalism of inverse theory is used to design a new prediction error filter for maximum entropy spectral estimates. Maximum likelihood, another high resolution method is also presented. This volume can be utilised as a graduate-level text for courses in Geophysics. Some chapters will be of use for graduate courses in Applied Mathematics, Applied Statistics, and Oceanography.


Author: Wolfgang Torge

Publisher: Walter de Gruyter

ISBN: 3110198177

Category: Science

Page: 379

View: 7472

Das Buch gibt einen systematischen Überblick über die grundlegenden Theorien, die Bezugssysteme und die Mess- und Auswertemethoden der Geodäsie, wobei der Beitrag der geodätischen Raumtechniken zur Positionierung und zur Schwerefeldbestimmung besonders herausgestellt wird. Diese Methoden haben auch zu einem für die Praxis wichtigen Wandel in der Einrichtung geodätischer Grundlagennetze geführt. Zur interdisziplinären Geodynamikforschung kann die Geodäsie damit ebenfalls wesentliche Beiträge leisten. Der gegenwärtige Stand der Geodäsie wird durch eine Vielzahl von Beispielen aus Messung, Auswertung und Analyse illustriert, ein umfangreiches Literaturverzeichnis erleichtert ein weitergehendes Studium. Das Buch vermittelt einen umfassenden Überblick über die tiefgreifenden Veränderungen, welche die Geodäsie in den vergangenen zwanzig Jahren erfahren hat.


Author: Andrew C. Harvey

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3486786741

Category: Business & Economics

Page: 396

View: 8703

Gegenstand des Werkes sind Analyse und Modellierung von Zeitreihen. Es wendet sich an Studierende und Praktiker aller Disziplinen, in denen Zeitreihenbeobachtungen wichtig sind.

Statistical Methods of Geophysical Data Processing

Author: Vladimir Troyan,Yurii Kiselev

Publisher: World Scientific

ISBN: 981429375X

Category: Electronic books

Page: 436

View: 4096

This textbook contains a consideration of the wide field of problems connected with statistical methods of processing of observed data, with the main examples and considered models related to geophysics and seismic exploration. This textbook will be particularly helpful to students and professionals from various fields of physics, connected with an estimation of the parameters of the physical objects by experimental data. The reader can also find many important topics, which are the basis for statistical methods of estimation and inverse problem solutions.

Nonlinear Ocean Waves and the Inverse Scattering Transform

Author: Alfred Osborne

Publisher: Academic Press

ISBN: 9780080925103

Category: Science

Page: 944

View: 9831

For more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing our understanding of oceanic surface and internal waves. Nonlinear Fourier analysis is based upon a generalization of linear Fourier analysis referred to as the inverse scattering transform, the fundamental building block of which is a generalized Fourier series called the Riemann theta function. Elucidating the art and science of implementing these functions in the context of physical and time series analysis is the goal of this book. Presents techniques and methods of the inverse scattering transform for data analysis Geared toward both the introductory and advanced reader venturing further into mathematical and numerical analysis Suitable for classroom teaching as well as research

Spektralanalyse und Filtertheorie

in der angewandten Geophysik

Author: Burkhard Buttkus

Publisher: Springer

ISBN: 9783662099711

Category: Science

Page: 650

View: 314

Mit diesem Buch gibt der Autor einen umfassenden ]berblick }ber den gegenw{rtigen Entwicklungsstand der Spektralanalyse und Filtertheorie in derGeophysik. Die Beschreibung der Prinzipien und theoretischen Grundlagen der verschiedenen Verfahren wird erg{nzt durch eine praxiserprobte Bewertung ihrer Wirksamkeit. Neben den klassischen Verfahren werden moderne Methoden und deren Anwendungsm|glichkeiten an ausgew{hlten Beispielen vorgestellt. Dazu geh|ren u.a. die Spektralanalyse durch An- passung der Daten an regellose Modelle, die Maximum-Entro- pie- und Maximum-Likelihood-Spektralanalyse, Wiener- und Kalman-Filterung, die homomorphe Dekonvolution sowie daten- adaptive Verfahren f}r nicht station{re Prozesse. Dieses anwendungsorientierte Lehrbuch ist Studenten, For- schern und Praktikern zu empfehlen, die praktische geophysi- kalische Aufgaben in den Bereichen Datenerfasung, -bearbei- tung und -auswertung zu l|sen haben.